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Transforming constraint diagramsby: Jim Burton
edited by: Philip Cox, Andrew Fish, John Howse |
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AbstractConstraint diagrams were proposed by Kent for the purposes of formal software specification in a visual manner. They have recently been formalized and generalized, making them more expressive. This paper presents a collection of transformations that can be applied to the so-called unitary $α$ fragment of constraint diagrams. The transformations can be used to define inference rules in a more succinct manner than in earlier systems. We establish that the transformations are sufficient to transform any given unitary $α$-diagram into any other unitary $α$-diagram. Therefore, they are sufficient for formalizing any inference rules between such diagrams.
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